• Journal of the Korean Statistical Society
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• v.24 no.1
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• pp.249-256
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• 1995

In this note we prove an invariance principle for strictly stationary linear positive quadrant dependent sequences, satifying some assumption on the covariance structure, $0 < \sum Cov(X_1,X_j) < \infty$. This result is an extension of Burton, Dabrowski and Dehlings' invariance principle for weakly associated sequences to LPQD sequences as well as an improvement of Newman's central limit theorem for LPQD sequences.

• The Pure and Applied Mathematics
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• v.5 no.2
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• pp.95-100
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• 1998

In this note we consider some basic facts concerning abstract M spaces and investigate extremal structure of the unit ball of bounded linear functionals on $\sigma$-complete abstract M spaces.

• 한국정보디스플레이학회:학술대회논문집
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• 2000.01a
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• pp.203-204
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• 2000

We have developed 14.1" XGA transflective panel for both transmissive mode and reflective mode. We designed new panel structure, optimized optical films and adopted pixel with high aperture and high transmittance color filter. This can be applied for mobile tool and sub-note without regard to environment.

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.693-697
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• 2012

In this note, we discuss $N(R,<_R)$-structure in a semiring, and show that if ($R,+,{\cdot}$) is a cancellative $<_+$-stable semiring, then ($R/N(R,<_+),+,{\cdot}$) is a semiring.

• Honam Mathematical Journal
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• v.2 no.1
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• pp.9-12
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• 1980

Kasahara는 임의(任意)의 집합(集合)에 Closeness Structure를 도입(導入)하여 Convergence Structure와의 관계(關係)를 밝혔는데 본(本) 논문(論文)에서는 Closeness 공간(空間) (X, ${\Gamma}$)의 부분집합(部分集合) Y가 X 상(上)의 Closeness Structure ${\Gamma}$에 대(對)한 상대(相對) Closeness Structure를 갖기 위(爲)한 조건(條件) 및 Closeness 부분공간(部分空間)과 Convergence 부분공간(部分空間)과의 관계(關係)를 고찰(考察)하였다.

• Kyungpook Mathematical Journal
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• v.45 no.4
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• pp.595-602
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• 2005

Here we define Central separable semialgebras and to prove some structure theorems for central separable cancellative, semialgebras over a commutative and cancellative semiring.

• Kyungpook Mathematical Journal
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• v.56 no.3
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• pp.669-682
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• 2016

In this paper, we study the cellular structure of the G-edge colored partition algebras, when G is a finite group. Further, we classified all the irreducible representations of these algebras using their cellular structure whenever G is a finite cyclic group. Also we prove that the ${\mathbb{Z}}/r{\mathbb{Z}}$-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive $r^{th}$ root of unity.

• Honam Mathematical Journal
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• v.44 no.3
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• pp.384-390
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• 2022

In this paper, we study the obstruction on the jets of an almost complex structure J to the existence of a symplectic form ω such that J is compatible with ω. We describe some almost complex structures on ℝ⁴ and on ℝ⁶, respectively, that cannot be calibrated by any symplectic forms. In particular, these examples pertain to the model almost complex structure on ℝ⁴ in [3], and the simple model structure on ℝ⁶ in [7].

• Bulletin of the Korean Mathematical Society
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• v.37 no.1
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• pp.181-189
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• 2000

Let (X, J) be a closed, connected almost complex four-manifold. Let $X_1$ be the complement of an open disc in X and let ${\varepsilon}_1$be the contact structure on the boundary ${\varepsilon}X_1$ which is compatible with a symplectic structure on $X_1$, Then we show that (X, J) is symplectic if and only if the contact structure ${\varepsilon}_1$ on ${\varepsilon}X_1$ is isomorphic to the standard contact structure on the 3-sphere $S^3$ and ${\varepsilon}X_1$is J-concave. Also we show that there is a contact structure ${\varepsilon}_0\ on\ S^2\times\ S^1$which is not strongly symplectically fillable but symplectically fillable, and that $(S^2{\times}S^1,\;{\varepsilon})$ has infinitely many non-diffeomorphic minimal fillings whose restrictions on$\S^2\times\ S^1$are ${\sigma}$ where ${\sigma}$ is the restriction of the standard symplectic structure on $S^2{\times}D^2$.

• Journal of the Chungcheong Mathematical Society
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• v.8 no.1
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• pp.137-145
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• 1995

In the white noise analysis the one-parameter groups play the powerful role. In this report, we will see a subgroup of infinite dimensional unitary group $U_{\infty}$ including guage transform and structure of this subgroup under the view point of Lie algebra.